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Finding the Fourth Proportional to 654.55, 903.16 and 497.14

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Solution

The fourth proportional to 654.55, 903.16 and 497.14 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.55 : 903.16 = 497.14 : x
  2. Step 2: Convert to fraction form
    654.55/903.16 = 497.14/x
  3. Step 3: Cross multiply
    654.55x = 903.16 × 497.14
  4. Step 4: Simplify right side
    654.55x = 448,996.96
  5. Step 5: Solve for x
    x = 448,996.96/654.55
  6. Step 6: Final answer
    x = 685.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.